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Finding the Third Proportional to 401,104 and 601,744

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Solution

The third proportional to 401,104 and 601,744 is: 902,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,104 : 601,744 = 601,744 : x
  2. Step 2: Convert to fraction form
    401,104/601,744 = 601,744/x
  3. Step 3: Cross multiply
    401,104x = 601,744 × 601,744
  4. Step 4: Simplify right side
    401,104x = 362,095,841,536
  5. Step 5: Solve for x
    x = 362,095,841,536/401,104
  6. Step 6: Final answer
    x = 902,748.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.